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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 858 · 40 sums
TalentJR

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.What is 1/8 + (−1/6)? (a) 1/24 (b) 7/24 (c) 0 (d) −1/24
  2. 2.What is the additive inverse of −6/7? (a) −7/6 (b) −6/7 (c) 7/6 (d) 6/7
  3. 3.What is (−1/9) + (−8/9)? (a) 7/9 (b) −1 (c) 1 (d) −1/2
  4. 4.What is (−2/9) + 1/2? (a) −1/11 (b) −13/18 (c) −5/18 (d) 5/18
  5. 5.Which is bigger: −5/6 or −1/2? (a) −5/6 (b) −1/2
  6. 6.Write −10/12 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −10/12 (c) −5/6 (d) −6/5
  7. 7.Which is smaller: −2/5 or −3/8? (a) −3/8 (b) −2/5
  8. 8.What is the additive inverse of 1/2? (a) −1/2 (b) 2 (c) −2 (d) 1/2
  9. 9.What is the additive inverse of 1/4? (a) −1/4 (b) 4 (c) −4 (d) 1/4
  10. 10.What is (−1/9) − (−7/8)? (a) −71/72 (b) 55/72 (c) 6/17 (d) −55/72
  11. 11.What is 5/8 − (−1/2)? (a) 3/5 (b) −9/8 (c) 9/8 (d) 1/8
  12. 12.Which is bigger: −7/8 or −8/9? (a) −7/8 (b) −8/9
  13. 13.What is the reciprocal (multiplicative inverse) of −4/7? (a) 4/7 (b) −4/7 (c) −7/4 (d) 7/4
  14. 14.What is (−1/3) − 1/5? (a) −1/4 (b) −8/15 (c) 8/15 (d) −2/15
  15. 15.What is the additive inverse of 8/9? (a) −8/9 (b) 8/9 (c) 9/8 (d) −9/8
  16. 16.What is (−1/2) + 5/6? (a) 1/2 (b) 1/3 (c) −4/3 (d) −1/3
  17. 17.Is −8/(−3) positive or negative? (a) Positive (b) Negative
  18. 18.What is (−3/5) − (−3/4)? (a) −27/20 (b) 0 (c) 3/20 (d) −3/20
  19. 19.Which is bigger: −1/7 or 1/6? (a) 1/6 (b) −1/7
  20. 20.Is 2/(−2) positive or negative? (a) Negative (b) Positive
  21. 21.What is the reciprocal (multiplicative inverse) of 4/9? (a) −4/9 (b) 4/9 (c) 9/4 (d) −9/4
  22. 22.What is (−4/9) − (−1/4)? (a) −3/13 (b) 7/36 (c) −7/36 (d) −25/36
  23. 23.What is (−5/8) − 4/5? (a) 57/40 (b) 7/40 (c) −9/13 (d) −57/40
  24. 24.What is the additive inverse of −1/8? (a) −8 (b) 8 (c) −1/8 (d) 1/8
  25. 25.What is (−3/4) + 2/3? (a) 1/12 (b) −17/12 (c) −1/7 (d) −1/12
  26. 26.What is 1/3 + (−7/8)? (a) 29/24 (b) −6/11 (c) −13/24 (d) 13/24
  27. 27.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) 2/3 (c) −3/2 (d) 3/2
  28. 28.What is the additive inverse of −2/9? (a) −9/2 (b) 9/2 (c) 2/9 (d) −2/9
  29. 29.Is 9/5 positive or negative? (a) Negative (b) Positive
  30. 30.What is (−2/5) + (−1/4)? (a) 13/20 (b) −3/20 (c) −1/3 (d) −13/20
  31. 31.What is (−5/7) − (−1/9)? (a) −52/63 (b) 38/63 (c) −1/4 (d) −38/63
  32. 32.Is −1/3 positive or negative? (a) Positive (b) Negative
  33. 33.What is the reciprocal (multiplicative inverse) of −1/3? (a) 1/3 (b) −3 (c) −1/3 (d) 3
  34. 34.Which is smaller: −1/4 or −2/7? (a) −1/4 (b) −2/7
  35. 35.What is (−1/7) + (−1/5)? (a) 2/35 (b) −1/6 (c) 12/35 (d) −12/35
  36. 36.Which is bigger: −6/7 or −5/8? (a) −5/8 (b) −6/7
  37. 37.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) −5/6 (b) −30/36 (c) 5/6 (d) −6/5
  38. 38.Is 9/(−7) positive or negative? (a) Negative (b) Positive
  39. 39.Which is smaller: −3/8 or −4/9? (a) −3/8 (b) −4/9
  40. 40.What is (−7/8) − 1/3? (a) 29/24 (b) −8/11 (c) −13/24 (d) −29/24

Answer key

  1. −1/24
  2. 6/7
  3. −1
  4. 5/18
  5. −1/2
  6. −5/6
  7. −2/5
  8. −1/2
  9. −1/4
  10. 55/72
  11. 9/8
  12. −7/8
  13. −7/4
  14. −8/15
  15. −8/9
  16. 1/3
  17. Positive
  18. 3/20
  19. 1/6
  20. Negative
  21. 9/4
  22. −7/36
  23. −57/40
  24. 1/8
  25. −1/12
  26. −13/24
  27. 3/2
  28. 2/9
  29. Positive
  30. −13/20
  31. −38/63
  32. Negative
  33. −3
  34. −2/7
  35. −12/35
  36. −5/8
  37. −5/6
  38. Negative
  39. −4/9
  40. −29/24

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